Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-05-16
JHEP 0307:011,2003
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, LaTeX, no figures, more details are given concerning Wilson lines
Scientific paper
10.1088/1126-6708/2003/07/011
In the recent literature one can find calculations of various one--loop amplitudes, like anomalies, tadpoles and vacuum energies, on specific types of orbifolds, like S^1/Z_2. This work aims to give a general description of such one--loop computations for a large class of orbifold models. In order to achieve a high degree of generality, we formulate these calculations as evaluations of traces of operators over orbifold Hilbert spaces. We find that in general the result is expressed as a sum of traces over hyper surfaces with local projections, and the derivatives perpendicular to these hyper surfaces are rescaled. These local projectors naturally takes into account possible non--periodic boundary conditions. As the examples T^6/Z_4 and T^4/D_4 illustrate, the methods can be applied to non--prime as well as non--Abelian orbifolds.
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